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Finding the Fourth Proportional to 280.26, 419.76 and 158.40

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Solution

The fourth proportional to 280.26, 419.76 and 158.40 is: 237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 419.76 = 158.40 : x
  2. Step 2: Convert to fraction form
    280.26/419.76 = 158.40/x
  3. Step 3: Cross multiply
    280.26x = 419.76 × 158.40
  4. Step 4: Simplify right side
    280.26x = 66,489.98
  5. Step 5: Solve for x
    x = 66,489.98/280.26
  6. Step 6: Final answer
    x = 237.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.